# Thermal dissipation in two dimensional relativistic Fermi gases with a relaxation time model

## TL;DR

This paper investigates the thermal transport properties of a two-dimensional relativistic Fermi gas across all temperatures and densities using a relaxation time approximation, revealing proportional transport coefficients and analyzing their dependence on temperature, chemical potential, and relaxation parameters.

## Contribution

It introduces a comprehensive analysis of thermal dissipation in 2D relativistic Fermi gases using the Uehling-Uhlenbeck equation with a relaxation model, highlighting proportional transport coefficients and their dependencies.

## Key findings

- Transport coefficients are proportional to each other.
- Thermal conductivity depends on temperature and chemical potential.
- The relaxation parameter influences thermal transport properties.

## Abstract

The thermal transport properties of a two dimensional Fermi gas are explored, for the full range of temperatures and densities. The heat flux is established by solving the Uehling-Uhlebeck equation using a relaxation approximation given by Marle's collisional kernel and considering the temperature and chemical potential gradients as independent thermodynamic forces. It is shown that the corresponding transport coefficients are proportional to each other, which leads to the possibility of defining a generalized thermal force and a single transport coefficient. The behavior of such conductivity with the temperature and chemical potential is analyzed and a discussion on its dependence with the relaxation parameter is also included. The relevance and applications of the results are briefly addressed.